115028692370449 has 81 divisors (see below), whose sum is σ = 138009037432539. Its totient is φ = 95759224772640.

The previous prime is 115028692370447. The next prime is 115028692370477. The reversal of 115028692370449 is 944073296820511.

The square root of 115028692370449 is 10725143.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17016078753025 + 98012613617424 = 4125055^2 + 9900132^2 .

It is not a de Polignac number, because 115028692370449 - 2¹ = 115028692370447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115028692370447) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 274531485162 + ... + 274531485580.

It is a 1-persistent number, because it is pandigital, but 2⋅115028692370449 = 230057384740898 is not.

Almost surely, 2^{115028692370449} is an apocalyptic number.

115028692370449 is the 10725143-rd square number.

115028692370449 is the 5362572-nd centered octagonal number.

It is an amenable number.

115028692370449 is a deficient number, since it is larger than the sum of its proper divisors (22980345062090).

115028692370449 is an frugal number, since it uses more digits than its factorization.

115028692370449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 115028692370449 in words is "one hundred fifteen trillion, twenty-eight billion, six hundred ninety-two million, three hundred seventy thousand, four hundred forty-nine".